help please and thank you

Answer:

The standard error of the sample proportion is 0.0993.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

73% of voters support it.

This means that [tex]p = 0.73[/tex]

Sample of 20 voters

This means that [tex]n = 20[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.73[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.73*0.27}{20}} = 0.0993[/tex]

The standard error of the sample proportion is 0.0993.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is

12/20 = 0.6, so this is the p-value of Z when X = 0.6.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.6 - 0.73}{0.0993}[/tex]

[tex]Z = -1.31[/tex]

[tex]Z = -1.31[/tex] has a p-value of 0.0951.

So

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.

The standard error of the sample proportion is 0.0098.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951

Given that,

Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it.

You randomly ask 20 Greensboro voters whether they support the bond referendum.

We have to determine,

The standard error of the sample proportion is.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is .

According to the question,

There is a school bond referendum in Greensboro, and 73% of voters support it.

20 Greensboro voters whether they support the bond referendum.

[tex]standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}[/tex]

Where, p = 73% = 0.73

And n = 20

Therefore,

[tex]Standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}\\\\ Standard \ deviation = \sqrt{\dfrac{0.73(1-0.73)}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.73\times 0.27}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.19}{20}}\\\\Standard \ deviation = 0.0098[/tex]

The standard error of the sample proportion is 0.0098.

[tex]\dfrac{12}{20 }= 0.6[/tex]

 This is the p-value of Z when X = 0.6.

Therefore,

[tex]Z = \dfrac{X-\mu}{\sigma}\\\\Z = \dfrac{0.6-0.73}{0.993}\\\\Z = -1.31\\\\[/tex]

Z = -1.31 has a p-value of 0.0951.

Hence, The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.

To know more about Probability click the link given below.

https://brainly.com/question/24248147

Answer: - $6.75

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

For this, think of dividing 3/4 into 3 parts, each of them being 1/3 of the original amount.

With this, it would be 1/4, as 1/4 + 1/4 + 1/4 = 3/4.

Answer:

[tex](g\ o\ f)=-20x+10[/tex]

Step-by-step explanation:

One is given the following functions:

f(x) =5x + 2

g(x) = 4x + 2

One is asked to find the following:

[tex](g\ o\ f)(x)[/tex]

One can rewrite this operation as the following:

g(f(x))

In essence, one substitutes in function (g) in place of the parameter (x), and solves to find the new function formed.

[tex]g(f(x))\\\\=g(-5x+2)\\\\=4(-5x+2)+2[/tex]

Simplify, distribute, multiply every term in the parenthesis by the term outside of it, then simplify,

[tex]=-20x+8+2\\\\=-20x+10[/tex]

Answer:

Is it C. 50

Step-by-step explanation:

Answer:

Easy is 15 bc 15 and 10 are in a 5 equal to 5 x 2 10 and you take the 5 away from the 50 and so its 15 trust

Step-by-step explanation:

Answer:

53.76 cm3

Step-By-Step Explanation

Answer:

B

Step-by-step explanation:

MOVE TO THE RIGHT 9 TIMES!!

9 × 8 = 8 × 9 equation is true

Answer:

Step-by-step explanation:

W = 2L + 3, and:

P = 2W + 2L = 192

Substituting 2L + 3 for W, we get:

P = 2(2L + 3) + 2L = 192, or

4L + 6 + 2L = 192, or:

6L = 186

L = 186/6 = 31

The length is 31, the width is 62 + 3, or 65

Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62  = 192 (OK!)

Answer:

14

Step-by-step explanation:

Answer:

14 flashes.

Step-by-step explanation:

1 minute = 60 seconds

x minutes = 45 seconds.

1/x = 60/45                           Cross multiply

60x = 45                               Divide by 60

x = 45/60

x = .75

10 1/2 minutes = 10.5 minutes.

x flashes / 10.5 minutes = 1 flash / 0.75 minutes   Multiply by 10.5

x = 10.5/0.75

x = 14

Answer:

3:6

Step-by-step explanation:

8:16 is a 1/2 ratio

Answer:

A(2,2) _scale factor ½--(1,1)

B(4,6)_scale factor ½--(2,3)

C(6,2)_scale factor ½--(3,1)

is a required coordinate

Scale factor=1/2

Apply and get new coordinates

Answer:

A = $3,526.50

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = [tex]\frac{R}{100}[/tex]

r = [tex]\frac{3.5}{100}[/tex]

r = 0.035 rate per year,

Then solve the equation for A

A = P(1 + [tex]\frac{r}{n}[/tex])nt

A = 2,500.00(1 + [tex]\frac{0.035}{1}[/tex])(1)(10)

A = 2,500.00(1 + 0.035)(10)

A = $3,526.50

Hence:

The total amount of over 10 years is $3,526.50.

Answer:

b. 33.54% and 22.54%, respectively

Step-by-step explanation:

Confusion Matrix

                                         Predicted Class

Actual Class            0                          1                                Total    

0                             105                    53                               158

                               True Positive     False Negative

                                  TP                        FN                                          

1                               32                     110                               142

                             False Positive       True Negative

                                 FP                           TN

Total Error Rate = FN +FP/ P +N

Total Error Rate = 53+32/ 105+32+53+110

Total Error Rate = 85/300 = 28.33%

Error Rate for Class 0  = FP/ FP+TP=  32/142 = 22.53%

Error Rate for  Class 1=  FN/ FN+TP=  53/ 158= 33.54%

===============================================

Work Shown:

L = theta*r

L = (5pi/4)*1

L = 5pi/4

L = 3.92699081698724 approximately

L = 3.927 units

The formula above only works if theta is in radians.

If the angle is in degrees, then you need to convert using the rule

y = (pi/180)*x

where x is the angle in degrees and y is the equivalent angle measure in radians.

In the fourth step, I used my calculator to get that value. You could use pi = 3.14, but in this case, your teacher wants you to use the stored value of pi found in the calculator.

---------------------------

Extra info (optional section):

If you're curious why that formula works, then consider a circle with circumference C = 2*pi*r. This is the distance around the circle, aka the perimeter.

The arc length in red is only a fractional portion of the full perimeter. Specifically, that fractional amount is theta/2pi. We multiply this fraction by the full perimeter and simplify

L = arc length

L = (full circle circumference)*(fractional amount)

L = (2*pi*r)*(theta/2pi)

L = theta*r

The "2pi" terms cancel in the last step. Again, this formula only works if theta is in radians. This is due to the fractional portion theta/2pi.

There is an equivalent formula for theta being in degrees, which is

L = (theta/360)*2*pi*r

but this version is a bit messier in my opinion.

Answer:3.927

Step-by-step explanation:

Answer:

you language is i don't know

Step-by-step explanation:

for now I did

Answer:

d

Step-by-step explanation:

Answer:

15 square units

Step-by-step explanation:

If you were to cut off the bottom triangle (separated by the dotted line), and put it on top of the other triangle, you would get a rectangle.

All you have to do is length x height

5 x 3 = 15

Answer:

Sin(a)= [tex]\frac{z}{x}[/tex]

Hope this helps!

Answer:

0

Step-by-step explanation:

The equation is undefined.

Answer:

disagree

Step-by-step explanation:

toa=opposit over adjacent= 12/9

tan(x)=12/9

tan^-1=12/9

x= 53.1

Answer:

Disagree

Step-by-step explanation:

x actually equals 53.13

Answer:

t=0.15n

Step-by-step explanation:

I had it on a test and it was correct

3.75=0.15(25)

and when you times 0.15*25 it equals 3.75

Answer:

A

Step-by-step explanation:

MARK AS BRAINLIEST!!

Answer:

x < 26

Step-by-step explanation:

Given the following algebraic expression;

x - 30 < -4

To find the value of x in its simplest form;

First of all, we would have to rearrange the algebraic expression to make the variable on one side and the integer on the other side;

Simplifying an expression simply means to collect like terms that are having the same variables or constants and combining them, so as to reduce the expression to the lowest possible value.

x < -4 + 30

x < 26

Answer:

24°

Step-by-step explanation:

The sum of all interior angles of a triangle always equal to 180°.

There are two givens in the problem. Set up the equation by equaling 180 to the two given angles and the unknown.

[tex]180 = 102 + 54 + x\\180 = 156 + x\\[/tex]

Isolate x by subtracting 156 to both sides.

[tex]180 - 156 = 156 - 156 + x\\x= 180-156\\x=24\\[/tex]

Answer:

x = 1    or   x = -5   or   x = 10

Step-by-step explanation:

f(x) = x³ – 6x² – 45x + 50 = (x² + 4x -5) (x - 10) = (x - 1) (x + 5) (x - 10)

(x - 1) (x + 5) (x - 10) = 0

x = 1    or   x = -5   or   x = 10

Answer:

You are t subtract both 28,176.44-$1500

Step-by-step explanation:

right after that the answer you get for subtraction you go ahead and use it to subtract with 34,083.30